Three- and four-point connectivities of two-dimensional critical $Q-$ Potts random clusters on the torus

Nina Javerzat; Marco Picco; Raoul Santachiara

doi:10.1088/1742-5468/ab7c5e

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arXiv · 1912.05865

Three- and four-point connectivities of two-dimensional critical $Q-$ Potts random clusters on the torus

Nina Javerzat·Marco Picco·Raoul Santachiara

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Abstract

In a recent paper, we considered the effects of the torus lattice topology on the two-point connectivity of $Q-$ Potts clusters. These effects are universal and probe non-trivial structure constants of the theory. We complete here this work by considering the torus corrections to the three- and four-point connectivities. These corrections, which depend on the scale invariant ratios of the triangle and quadrilateral formed by the three and four given points, test other non-trivial structure constants. We also present results of Monte Carlo simulations in good agreement with our predictions.

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Nina Javerzat, Marco Picco, Raoul Santachiara. 2020-04-08. Three- and four-point connectivities of two-dimensional critical $Q-$ Potts random clusters on the torus. https://doi.org/10.1088/1742-5468%2Fab7c5e

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